$L^2$ boundedness of Hilbert transforms along variable flat curves

DOI10.1007/s00209-020-02672-9zbMath1468.42014arXiv1808.01447OpenAlexW3119172376MaRDI QIDQ2043087

Publication date: 22 July 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01447

zbMATH Keywords

Hilbert transform variable flat curve

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (3)

Estimates for Hilbert transforms along variable general curves ⋮ Hilbert transforms along variable planar curves: Lipschitz regularity ⋮ $L^p$ boundedness of Carleson \& Hilbert transforms along plane curves with certain curvature constraints

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\(L^2\) boundedness of Hilbert transforms along variable flat curves